Exact Casimir-Polder potential between a particle and an ideal metal cylindrical shell and the proximity force approximation

Physics – High Energy Physics – High Energy Physics - Theory

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8 pages, 4 figures, Accepted for publication in Eur. Phys. J. C

Scientific paper

10.1140/epjc/s10052-011-1614-5

We derive the exact Casimir-Polder potential for a polarizable microparticle inside an ideal metal cylindrical shell using the Green function method. The exact Casimir-Polder potential for a particle outside a shell, obtained recently by using the Hamiltonian approach, is rederived and confirmed. The exact quantum field theoretical result is compared with that obtained using the proximity force approximation and a very good agreement is demonstrated at separations below 0.1$R$, where $R$ is the radius of the cylinder. The developed methods are applicable in the theory of topological defects.

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